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Finding the Fourth Proportional to 586.22, 880.19 and 367.79

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Solution

The fourth proportional to 586.22, 880.19 and 367.79 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 880.19 = 367.79 : x
  2. Step 2: Convert to fraction form
    586.22/880.19 = 367.79/x
  3. Step 3: Cross multiply
    586.22x = 880.19 × 367.79
  4. Step 4: Simplify right side
    586.22x = 323,725.08
  5. Step 5: Solve for x
    x = 323,725.08/586.22
  6. Step 6: Final answer
    x = 552.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.